Math Problem Statement
x² - 1
Solution
The expression is another example of the difference of squares. It can be factored using the formula:
Here, is and 1 is , where . So, the expression factors as:
Would you like more details or have any questions?
Here are 5 related questions:
- How would you factor ?
- What are the solutions to the equation ?
- How does the difference of squares apply to ?
- What if the expression was instead? Can it be factored?
- How do you expand to verify the factorization?
Tip: When dealing with a quadratic expression, always check if it can be factored using the difference of squares, especially when the constant term is a perfect square.
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Equations
Difference of Squares
Formulas
Difference of squares formula: a^2 - b^2 = (a - b)(a + b)
Theorems
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Suitable Grade Level
Grades 7-9